Suppose that a random sample of size 25 is to be selected from a population with mean 41 and standard deviation 9. what is the approximate probability that x will be more than 0.5 away from the population mean? a) 0.7812b) 0.2188c) 0.4188d) 0.0443e) 0.4376f) none of the above

The probability that X will be more than 0.5 away fro the population

mean is 0.7812 ⇒ answer a

Step-by-step explanation:

* Let us explain how to solve the problem

- The sample size n is 25

- The mean of the population μ is 41

- The standard deviation σ is 9

- We need to find the approximate probability that X will be more than

 0.5 away from the population mean

∵ z-score = (X - μ)/(σ/√n)

∵ X - μ = 0.5

- That means X > 41 + 0.5, OR X < 41 - 0.5

- Then we need to find P(X > 41.5) and P(X < 40.5)

∵ z = = 0.2778

∵ z = = -0.2778

- Let us use the normal distribution table to find the corresponding

  area to z-score

∵ P(z < 0.2778) = 0.6116

∵ P(z > -0.2778) = 0.3928

- P(40.5 < X < 41.5) = P( -0.2778 < z < 0.2778)

∴ The probability of X to be with in 0.5 = 0.6116 - 0.3928

∴ The probability of X to be with in 0.5 = 0.2188

∵ The probability of X to be more than 0.5 away from the population

   mean = 1 - 0.2188

∴ P(X > 41.5) OR P(X < 40.5) = 0.7812

* The probability that X will be more than 0.5 away fro the population

  mean is 0.7812

which would be true for stem changing verbs?

they have a consistent spelling change in the stem of the verb.

what is different about the verb “venir” as compared to other stem-changing verbs?

only the third person forms have a stem change.

which of the following could not be considered a “stem-changing” verb?

querer

which of the following would not be condsidered an event?

desfile

what word could be used in response to the following?

¿qué quieres comprar?

quero

what word could be used in response to the following?

¿dónde uds. pueden ir?

vamos  

ellos ir al centro comercial.

yo comprar un vestido.

pedimos

dónde tú?

dormes

step-by-step explanation:

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110